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Finding the Fourth Proportional to 2,092, 3,138.04 and 553.04

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Solution

The fourth proportional to 2,092, 3,138.04 and 553.04 is: 829.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,092 : 3,138.04 = 553.04 : x
  2. Step 2: Convert to fraction form
    2,092/3,138.04 = 553.04/x
  3. Step 3: Cross multiply
    2,092x = 3,138.04 × 553.04
  4. Step 4: Simplify right side
    2,092x = 1,735,461.64
  5. Step 5: Solve for x
    x = 1,735,461.64/2,092
  6. Step 6: Final answer
    x = 829.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.